41. Il Giardino Di Archimede: Pitagora Translate this page scheda3_1.gif, La dimostrazione di thabit ibn qurra. La dimostrazione seguenteè attribuita al matematico arabo thabit ibn qurra (826-901). http://www.math.unifi.it/archimede/archimede/pitagora/exh_pitagora/scheda3.html

Il giardino di Archimede Un museo per la matematica Pitagora e il suo teorema Un'altra dimostrazione semplicissima. dimostrazione visiva e spiegazione di Airy dimostrazione di Thabit Ibn Qurra La Sembra I am, as you may see, a + b When two triangles on me stand, But if I stand on them instead, The squares of both sides are read. Mi presento, signori, eccomi qui: a + b Con due triangoli sopra, chiedo scusa* Ma se questi di sotto stanno quieti Si formano i quadrati dei cateti. *Di "chiedo scusa", amici, chiedo scusa, non ho la rima dell’ipotenusa ... La dimostrazione di Thabit Ibn Qurra. Pagina principale Pitagora e il suo teorema Pagina precedente Pagina successiva ... Links

42. Manuscripts Of Astrological Image Magic Catalogue 1497. De imaginibus. thabit ibn qurra. CAT. Canterbury, St Augustine'sAbbey, 1275. pp. 7191. s. xvi, 1510. Liber prestigiorum. thabit ibn qurra. MSS. http://duke.usask.ca/~frk302/MSS/images.html

Manuscripts of Astrological Image Magic Shelfmark folio/pages Date Title Author MSS/PRI/CAT* f. 180vb Liber de anulis et imaginibus Hermes MSS f. 31ra De quindecim stellis Hermes MSS Berlin, Preussische Staatsbibliothek 956. f. 22 s. xii Liber de lapidibus filiorum Israel (Seals of Thetel) Thetel MSS Berlin, Preussische Staatsbibliothek 964 ff. 213r- s. xv De imaginibus Thebit ibn Qurra MSS Berlin, Preussische Staatsbibliothek 964 f. 215r s. xv Hermes MSS Berlin, Preussische Staatsbibliothek 964 f. 215v s. xv Ptolemy MSS Bologna 139/105 ff. 281- s. xiv Septem tractatus in operatione Solis et Lune Hermes MSS Bratislave. Univerzitnej Kniznice, MS 1167 (E 796) ff. 4b- s. xvii De sigillis Planetarum MSS Cambridge, Corpus Christi College 243 f. 1v s. xiii- xiv [lapidiary - part of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 27 s. xiii- xiv de sculturis lapidum [here book 3 of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 40b. s. xiii- xiv de consecratione lapidum [here part of de lapidibus] MSS Cambridge, Corpus Christi College 243 f. 20v

43. Math Forum - Ask Dr. Math Pythagorean Theorem Proof (thabit ibn qurra). It's the second of the proofsgiven by thabit ibn qurra. The first one is essentially the 2 above. http://mathforum.org/library/drmath/view/55457.html

Associated Topics Dr. Math Home Search Dr. Math Pythagorean Theorem Proof (Thabit ibn Qurra) Date: 03/28/2002 at 20:39:21 From: Natalie Bramlett Subject: Proving Pythag. th from cut-the-knot.com problem #24 Dr.Math, I am working on a proof from cut-the-knot.com, #24. I don't understand exactly what it is saying that I have to prove. I tried making the base triangle and 3,4,5 triangle and then going from there, but I don't know how they are forming the other triangles. If you could help me in any way I would greatly appreciate it. Thanks, Natalie Date: 03/28/2002 at 23:26:24 From: Doctor Peterson Subject: Re: Proving Pythag. th from cut-the-knot.com problem #24 Hi, Natalie. I presume you are referring to http://www.cut-the-knot.com/pythagoras/ http://mathforum.org/dr.math/ Associated Topics High School Geometry High School Triangles and Other Polygons Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age.

44. The Math Forum Trig/Calc Problem Of The Week Archive To find out more about him, visit the MacTutor History of Mathematics archivesIbrahim ibn Sinan ibn thabit ibn qurra. Highlighted solutions http://mathforum.org/calcpow/solutions/solution.ehtml?puzzle=45

45. Fermer Translate this page fermer. thabit ibn qurra ibn Marwan al-Sabi al-Harrani (836 - 901 ap.jc) 1-PRESENTATIONNé dans l'année 836 APR. JC à Harran (Turquie présente). http://www.ifrance.com/Farabi/qurra.html

Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani (836 - 901 ap.jc) 1-PRESENTATION Né dans l'année 836 APR. J.C. à Harran (Turquie présente). Comme le nom indique il était un membre de la secte Sabian fondamentalement, mais le grand mathématicien Muhammad Ibn Musulman Musa Ibn Shakir, il a impressionné par ses connaissances des langues, sa grande capacité scientifique, ce qui lui avalu d'intégrer le groupe scientifique à Bagdad qui était patronné par les Califes Abbasid. Là, il a étudié sous la direction des frères Musa. 2-CONTRIBUTIONS ET OEUVRES Thabit a contribué à plusieurs branches de science, particulièrement les mathématiques, l'astronomie et la mécanique, en plus de la traduction d' un grand nombre de travaux des grecs en arabe. Plus tard, il a été patronné par le Calife Abbasid al-M'utadid. Après une longue carrière, Thabit est mort à Bagdad en 901 APR. J.C.

46. QURRA thabit ibn qurra. (836901 AD). thabit ibn qurra ibn Marwan al-Sabi al-Harraniwas born in the year 836 AD at Harran (present Turkey). http://hahsim.s5.com/scientists/qurra.html

Free Web site hosting - Freeservers.com THABIT IBN QURRA (836-901 A.D.) Thabit Ibn Qurra Ibn Marwan al-Sabi al-Harrani was born in the year 836 A.D. at Harran (present Turkey). As the name indicates he was basically a member of the Sabian sect, but the great Muslim mathematician Muhammad Ibn Musa Ibn Shakir, impressed by his knowledge of languages, and realising his potential for a scientific career, selected him to join the scientific group at Baghdad that was being patronised by the Abbasid Caliphs. There, he studied under the famous Banu Musa brothers. It was in this setting that Thabit contributed to several branches of science, notably mathematics, astronomy and mechanics, in addition to translating a large number of works from Greek to Arabic. Later, he was patronised by the Abbasid Caliph al-M'utadid. After a long career of scholarship, Thabit died at Baghdad in 901 A.D. Thabit's major contribution lies in mathematics and astronomy. He was instrumental in extending the concept of traditional geometry to geometrical algebra and proposed several theories that led to the development of non-Euclidean geometry, spherical trigonometry, integral calculus and real numbers. He criticized a number of theorems of Euclid's elements and proposed important improvements. He applied arithmetical terminology to geometrical quantities, and studied several aspects of conic sections, notably those of parabola and ellipse. A number of his computations aimed at determining the surfaces and volumes of different types of bodies and constitute, in fact, the processes of integral calculus, as developed later.

47. Islam Translate this page Elles sont l'oeuvre de mathématiciens comme thabit ibn qurra (826-901) et suscitéespar les besoins de la nouvelle société, en astronomie, en optique, en http://www.sfrs.fr/e-doc/islam.htm

Islam ... Ainsi s'exprime le barbier dans Les Mille et Une Nuits Thabit ibn Qurra Muhammad ibn Musa al-Khwarizmi Kitab al-jabr wa al-muqabala dans lequel al-jabr et al-muqabal racine ou chose Ibn Turk Thabit ibn Qurra , revient aux Suite Occident

48. Loq-Man Translations above. There they worked with Hunayn and later also with thabit ibn qurra.Hunayn became thabit ibn qurra (836 901). thabit ibn qurra http://www.loqmantranslations.com/ArabicFacts/ArabTranslators.html

ARAB TRANSLATORS Home Sitemap Company About us Services Translation Software Localization ... Consulting Translators Forum Translator's Form Translator's Help Contact Us Abu Zayd Hunayn ibn Ishaq al-Ibadi (808 - 873) Hunayn ibn Ishaq is most famous as a translator. He was not a mathematician but trained in medicine and made his original contributions to the subject. However, as the leading translator in the House of Wisdom at one of the most remarkable periods of mathematical revival, his influence on the mathematicians of the time is of sufficient importance to merit his inclusion in this archive. His son Ishaq ibn Hunayn, strongly influenced by his father, is famed for his Arabic translation of Euclid's Elements. Hunayn's father was Ishaq, a pharmacist from Hira. The family were from a group who had belonged to the Syrian Nestorian Christian Church before the rise of Islam, and Hunayn was brought up as a Christian. Hunayn became skilled in languages as a young man, in particular learning Arabic at Basra and also learning Syriac. To continue his education Hunayn went to Baghdad to study medicine under the leading teacher of the time. However, after falling out with this teacher, Hunayn left Baghdad and, probably during a period in Alexandria, became an expert in the Greek language. Hunayn returned to Baghdad and established contact with the teacher with whom he had fallen out. The two became firm friends and were close collaborators on medical topics for many years.

49. The University Of Illinois At Chicago Department Of Classics And Forthcoming Publications With Amos Bertolacci, thabit ibn qurra's Concise Expositionof Aristotle's Metaphysics Text, Translation, Commentary, in thabit http://www.uic.edu/las/clas/David_Reisman.html

50. Arabic Numerals Ibrahim ibn Sinan ibn thabit ibn qurra (908946) who introduced a methodof integration in studying the quadrature of the parabola. http://www.arabicnumerals.cwc.net/

By M Erhayiem The IBM World Book Encyclopaedia raises the question as how the Arabic Numerals originated (!?) as appeared in an article contributed by Nadine L. Verderber, Ph.D., Prof. of Mathematics, Southern Illinois Univ., Edwardsville. The article states, as such, "Scholars do not know how Arabic numerals originated." "The Hindus developed the zero sometime after A.D. 600." The World Book Multimedia Encyclopaedia has largely ignored the work of the Scientists during the Islamic and the Arabic medieval era. The contributions of the Muslims and Arabs in the field of Mathematics were very significant. The great Harvard historian of science, Professor George Sarton wrote in his monumental Introduction to the History of Science[4]: "From the second half of the 8th to the end of the 11th century, Arabic was the scientific, the progressive language of mankind... When the West was sufficiently mature to feel the need of deeper knowledge, it turned its attention, first of all, not to the Greek sources, but to the Arabic ones." O'Connor and Robertson[2] published various articles about the contribution of those forgotten brilliance. Muhammad ibn Musa al-Khawarizmi Yaqub ibn Ishaq al-Kindi (801-873 A.D.), a Philosopher and Mathematician, who wrote many works on arithmetic, including: the numbers, relative quantities, measuring proportion and time, and numerical procedures. He also wrote on space and time.

51. Encyclopædia Britannica Abu Said Sinan ibn thabit ibn qurra University of St.Andrews Brief introductionto the life and works of this Iraqi mathematician known for writings in http://search.britannica.com/search?query=ibn battutah&fuzzy=N&ct=igv&start=6&sh

52. Encyclopædia Britannica thabit ibn qurra Arab mathematician, astronomer, physician, and philosopher, arepresentative of the flourishing ArabIslamic culture of the 9th century. http://search.britannica.com/search?query=ibn battutah&fuzzy=N&ct=eb&start=8&sho

53. Muslim Scientist And Thinkers -- INDEX Jabir ibn Haiyan died 803 Mohammad Bin Musa alKhawarizmi died 840 Yaqub ibn Ishaqal-Kindi 800 thabit ibn qurra 836 Ali ibn Rabban al-Tabari 838 Abu Abdullah http://www.princeton.edu/~humcomp/scholars.html

Muslim Scholars and Thinkers Through the 14th Century Jabir Ibn Haiyan died 803 Mohammad Bin Musa al-Khawarizmi died 840 Yaqub Ibn Ishaq al-Kindi Thabit Ibn Qurra Ali Ibn Rabban al-Tabari Abu Abdullah al-Battani ... Abul Hasan Ali al-Masu'di died 957 Abu al-Qasim al-Zahrawi Abul Wafa Muhammad al-Buzjani Abu Ali Hasan Ibn al-Haitham Abu al-Hasan al-Mawardi ... Ibn al-Baitar died 1248 Nasir al-Din al-Tusi Jalal al-Din Rumi Ibn al-Nafis Ibn Khaldun

54. Ayman's Home Page Khaldun ibn Sina Jabir ibn Haiyan Jalal alDin Rumi Mohammad Bin Musa al-KhawarizmiMohammad ibn Zakariya al-Razi Omar al-Khayyam thabit ibn qurra Yaqub ibn http://ahram.org/islamic/muslim_scientist.htm

Muslim Scientists Abu Abdullah al-Battani Abu al-Hasan al-Mawardi Abu Ali Hasan Ibn al-Haitham Abu al-Nasr al-Farabi ... Yaqub Ibn Ishaq al-Kindi Please Send your comments to www.ahram.org

55. The Time Of Al-razi IBRAHIM ibn SINAN Abu Ishaq Ibrahim ibn Sinan ibn thabit ibn qurra.Born in 9089, died in 946. Grandson of thabit ibn qurra (qv http://www.levity.com/alchemy/islam15.html

History of Islamic Science 4 Based on the book Introduction to the History of Science by George Sarton (provided with photos and portraits) Edited and prepared by Prof. Hamed A. Ead These pages are edited by Prof. Hamed Abdel-reheem Ead, Professor of Chemistry at the Faculty of Science -University of Cairo, Giza, Egypt and director of the Science Heritage Center E-mail: ead@frcu.eun.eg Web site: http://www.frcu.eun.eg/www/universities/html/hamed2.htm Back to Islamic Alchemy The Time of Al-Mas'udi First Half of Tenth Century The overwhelming superiority of Muslim culture continued to be felt throughout the tenth century. Indeed, it was felt more strongly than over, not only the foremost men of science were Muslims, but also because cultural influences are essentially cumulative. By the beginning, or at any rate by the middle of the century, the excellence of muslim science was already so well established, even in the West, that each new arabic work benefited to some extent by the prestige pertaining to all. To be sure, other languages, such as Latin, Greek, or Hebrew were also used by scholars, but the works written in those languages contained nothing new, and in the field of science, as in any other, when one ceases to go forward, one already begins to go backward. All the new discoveries and the new thoughts were published in arabic. strangely enough, the language of the Qur'an had thus become the international vehicle of scientific progress. The development of Muslim culture was fostere in Spain by the eighth Umayyad caliph of the west, Abd al-Rahman II, the advances of Muslim science continued to take place almost extensively in the east.

56. The Time Of Al-razi thabit ibn qurra Abu Hassan thabit ibn qurra Marawan alHarrani, that is, from Harran,Mesopotamia, born 826-27 (or 835-36), flourished in Bagdad, died in 901. http://www.levity.com/alchemy/islam14.html

History of Islamic Science 3 Based on the book Introduction to the History of Science by George Sarton (provided with photos and portraits) Edited and prepared by Prof. Hamed A. Ead These pages are edited by Prof. Hamed Abdel-reheem Ead, Professor of Chemistry at the Faculty of Science -University of Cairo, Giza, Egypt and director of the Science Heritage Center E-mail: ead@frcu.eun.eg Web site: http://www.frcu.eun.eg/www/universities/html/shc/index.htm Back to Islamic Alchemy Back to reference library The Time of Al-Razi Second Half of Ninth Century The whole ninth century was essentially a Muslim century. This more clear in the second half than of the first, since all the scientific leaders were Muslims, or at any rate were working with and for Muslims and wrote in Arabic. Cultural Background Abbasid Caliph Al-Mutawakkil (847-861) continued to protect men of science, chiefly the physicians, and he encouraged the school of translators headed by Hunain ibn Ishaq. Da ud al-Zahiri founded a new school of theology, based upon a more literal interpretation of the Qur'an; however, did not survive very long. Muslim published a new collection of traditions, arranged according to legal topics, like Bukhari's, but more theoretical. The Egyptian Dhul-Nun is generally considered the founder of Sufism, that is, of Muslim mysticism.

57. UK Moon Sighting Home Page Contents Jabir ibn Haiyan died 803 Mohammad Bin Musa alKhawarizmi died 840 Yaqubibn Ishaq al-Kindi 800 thabit ibn qurra 836 Ali ibn Rabban al-Tabari 838 Abu http://www.ummah.net/moonsighting/scholars.htm

58. Thabit Ibn Qurrah (Thebit), 836-901 CE thabit ibn QURRAH (THEBIT) thabit ibn Qurrah, known in the West as Thebit, is knownfor his work on mechanics, astronomy, pure mathematics and geometry. http://www.unhas.ac.id/~rhiza/saintis/qurra.html

59. Biblioteca Translate this page 890 DESCRIPCION DE LAS FIGURAS FORMADAS POR thabit ibn qurra. 891 LIBROSOBRE EL INSTRUMENTO QUE INDICA LAS HORAS thabit ibn qurra. 1239? http://es.geocities.com/soliombra/biblioteca.htm

El mundo de los Relojes de Sol en una página Juan Serra Busquets Relojes de sol, Rellotges de sol, Relógios de sol, Orologio solari, Sundials, Cadrans solaires, Sonnenuhren, Gnomónica BIBLIOTECA Esta es la relación de los libros sobre gnomónica que yo conozco, salvo error u omisión. Cualquier aportación que ayude a aumentarla será bienvenida. Gracias. LIBROS CONOCIDOS POR REFERENCIAS VARIAS, HASTA EL SIGLO XIX MANUSCRITOS LIBROS DE LOS SIGLOS XX Y XXI AUTORES MALLORQUINES ... LIBROS EN ITALIANO LIBROS ANTIGUOS CONOCIDOS POR REFERENCIAS VARIAS 30 a.C DE ARCHITECTURA (TOMO IX) M. L. Vitruvio DE TEMPORIBUS y TEMPORUM RATIONE San Bede el Venerable (673-735) TIBERIUS HOROLOGIUM Monjes del norte de Inglaterra DESCRIPCION DE LAS FIGURAS FORMADAS POR... Thabit Ibn Qurra LIBRO SOBRE EL INSTRUMENTO QUE INDICA LAS HORAS...Thabit Ibn Qurra TRACTATUS DE QUADRANTE Sacrobosco QUADRANS VETUS Johannes Anglicus MANUSCRITO DESCRIBIENDO MUCHOS TIPOS DE RELOJES Abul Hhassan QUADRANS NOVUS Profetius QUADRATUM HORARIUM GENERALE J. Regiomontanus

60. Muslim Contribution To Science 826 901 ibn qurra, thabit; mathematician. 865- 923 Razi, al- (Rhazes); alchemist,philosopher, physician. 839- 923 Tabari, al-; historian, theologian. http://www.umr.edu/~msaumr/reference/articles/science/contributors.html

Muslim Contribution to Science Muslim Contribution to Science

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